SOLUTION: the side of a cube is represented by 2X-1 . Find, in terms of x, the volume of the cube

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Question 619846: the side of a cube is represented by 2X-1 . Find, in terms of x, the volume of the cube
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

the side of a cube is represented by 2x-1 . 

Find, in terms of x, the volume of the cube

 Volume of cube = s^3 = (2x-1)^3 = 8x%5E3%2B-12x%5E2%2B6x%2B-1+

Note: (2x-1)(2x-1) = 4x^2 - 4x + 1

(4x^2 - 4x + 1)(2x-1)= 2x(4x^2 - 4x + 1) + 1(4x^2 - 4x + 1) gives us 8x%5E3%2B-12x%5E2%2B6x%2B-1 

Or use %28a%2Bb%29%5E3+=+a%5E3+%2B+3a%5E2b%5E1+%2B+3a%5E1b%5E2+%2B+b%5E3     |where a = 2x and b = -1



3x-4y-16 = 0, that is a Line y = (3/4)x - 4, slope = (3/4) and (0,-4) the point

this line crosses the y-axis